This image shows Anda Degeratu

Anda Degeratu

Priv.-Doz. Dr.

Lecturer
Institute for Discrete Structures and Symbolic Computation
Chair for Differential Geometry

Contact

+49 711 685 65303

Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Room: 7.344

Office Hours

by appointment

Deputy Gender Equality Officer at the University of Stuttgart

since 10/2023
Gender Equality Office

Lecturer Prize of the Student Council Mathematics

Prize for the best advanced lecture in the academic year 2022:
for master lecture "Fractal Geometry and Chaos"
Prize for the best advanced lecture in the academic year 2021:
for master lecture "Neural Networks"

Subject

Geometric Analysis, General Relativity, Mathematics from/for Theoretical Neuroscience

Papers and Preprints:

  • R. Conlon, A. Degeratu, F. Rochon: Quasi-asymptotically conical Calabi-Yau manifolds, arXiv preprint 2016.
  • K. Morrison, A. Degeratu, V. Itskov, C. Curto: Diversity of emergent dynamics in competitive threshold-linear networks: a preliminary report, arXiv preprint 2016.
  • A. Degeratu, T. Walpuski: Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three, SIGMA 12 (2016), 017, 23 pages; doi:10.3842/SIGMA.2016.017.
  • A. Degeratu, R. Mazzeo: Fredholm theory for elliptic operators on quasi-asymptotically conical spaces, arXiv preprint 2014.
  • C. Curto, A. Degeratu, V. Itskov: Encoding binary patterns of neural activity in networks of threshold-linear neurons, Neural Computation, Volume 25 (2013), pp 2858-2903; doi:10.1162/NECO_a_00504, arXiv preprint 2012.
  • A. Degeratu, M. Stern: Witten spinors on nonspin manifolds, Communications in Mathematical Physics, Volume 324, Issue 2 (2013), pp 301-350; doi:10.1007/s00220-013-1804-0, arXiv preprint 2011.
  • C. Curto, A. Degeratu, V. Itskov: Flexible memory networks, Bulletin of Mathematical Biology,Volume 74 (2012), pp 590-614; doi:10.1007/s11538-011-9678-9, arXiv preprint 2010, SfN Poster.
  • A. Degeratu, K. Wendland: Friendly giant meets pointlike instantons? On a new conjecture by John McKay, in "Moonshine - The First Quarter Century and Beyond, A Workshop on the Moonshine Conjectures and Vertex Algebras", LMS Lecture Notes Series no. 372 (2010), 55-127; Augsburg preprint number 037/2007.
  • A. Degeratu: Eta invariants from Molien series, The Quarterly Journal of Mathematics Volume 60, Number 3 (2009); doi: 10.1093/qmath/han016, [ pdf].
  • A. Degeratu, M. Stern: The Positive Mass Conjecture for non-spin manifolds; math.DG/0412151 (has a sign error in Proposition 6.5).
  • A.Degeratu: Flops of Crepant Resolutions, Turkish J. Math. 28 (2004), no. 1, 23--40 (Proceedings ofthe 10th Gokova Geometry and Topology Conference); [ pdf].
  • A. Degeratu: Geometrical McKay Correspondence for Isolated Singularities; math.DG/0302068.
  • My PhD thesis: Eta Invariants and Molien series for Unimodular groups, MIT 2001; [ pdf].

Posters:

  • K. Morrison, A. Degeratu, V. Itskov, C. Curto: Pattern Generation in Simple Inhibition-Dominated Networks, Cosyne poster (2016).
  • C. Curto, A. Degeratu, V. Itskov: Perturbative memory encoding in recurrent networks, Cosyne Poster (2012).
  • C. Curto, A. Degeratu, V. Itskov: Recurrent vs feedforward networks: differences in neural code topology, Cosyne Poster (2012).
  • C. Curto, A. Degeratu, V. Itskov: Flexible memory networks, Cosyne Poster (2010).

Miscellanea:

  • A.Degeratu: Singular spin structures and Witten spinors; Oberwolfach Report for the Workshop "Stratified spaces: Joining Analysis, Topology and Geometry", December 11 - 17, 2011;
  • "Mini-Workshop: Higher Dimensional Elliptic Fibrations", Abstracts from the mini-workshop held October 3 - 9, 2010; Organized by Gavin Brown, Anda Degeratu and Katrin Wendland, Oberwolfach Reports Vol. 7 (2010), no. 4, 2651 - 2680.
  • A.Degeratu: Fredholm theory on quasi-asymptotically conical manifolds, Oberwolfach Report for the Workshop "Analysis and Geometric Singularities", August 19 - 25, 2007; [ pdf].
  • A.Degeratu: On the positive mass conjecture in higher dimensions, Oberwolfach Report for the Workshop "Mathematical Aspects of General Relativity", January 8 - 14, 2006; [ pdf].
  • A.Degeratu: Geometrical McKay correspondence, Oberwolfach Report for the MiniWorkshop "Finite Groups", May 16 - 22, 2004; [ pdf].
  • A. Degeratu: Crepant resolutions of Calabi-Yau orbifolds, Oberwolfach Report for the MiniWorkshop "Geometry and Duality in String Theory", May 16 - 22 , 2004; [ pdf].
  • A. Degeratu, M. Haskins: Open problems in L^2-cohomology [ pdf]; notes written for the AIM workshop L^2-harmonic forms in geometry and physics.
  • Winter Term 2024
    Mathematik für Informatikstudiengänge I
  • Summer Term 2024
    Neural Networks
  • Winter Term 2023/2024
    Assistenz: HM 3 (Prof. Frederik Witt) 
    Geometry of Black Holes
  • Summer Term 2023
    Geometrie für das Lehramt
    General Relativity
  • Winter Term 2022/2023
    Assistenz: HM 3 (Dr. Künzer) and Mathematics for Computer Scientists (Prof. Kollross)
  • Summer Term 2022
    Fractal Geometry and Chaos 
  • Winter Term 2021/32022:
    General Relativity
    Hauptseminar Fraktale Geometrie
  • Summer Term 2021:
    Neural Networks from the perspective of Neuroscience
  • Winter Term 2020/2021:
    Differentialgeometrie
    Proseminar Sphere Packing
  • Summer Term 2020:
    Geometrie für das Lehramt
    Geometry of Black Holes (Abstract)
  • Winter Term 2019/2020:
    Riemannsche Geometrie
    Assistenz: Höhere Mathematik 3 (vertief) für Luft- und Raumfahrt
  • Summer Term 2019:
    Differentialgeometrie
    Masterseminar Allgemeine Relativitätstheorie
  • Winter Term 2018/2019:
    Assistenz: Höhere Mathematik 3 (vertief) für Luft- und Raumfahrt
  • Summer Term 2018:
    Geometrie für das Lehramt
    Geometrie der Skalarkrümmung
  • Winter Term 2017/2018:
    Geometrische Analysis B
  • Summer Term 2017:
    Allgemeine Relativitätstheorie
    Assistenz Geometrie
  • Winter Term 2016/2017
    Assistentin bei der Vorlesung Differentialgeometrie.
    Assistentin bei der Vorlesung Höhere Mathematik 1 für phys-el-mecha-kyb.

At University of Freiburg:

Bachelortheses

  • Chaotic Dynamics on Fractals (2023)
  • The Geometry of Classical Mechanics (2022)
  • Durch binäre Blockcodes konstruierte Kugelpackungen vermöge der Konstruktion A (2022)
  • Hyperbolic Spaces (2021)
  • Cosmology (2021)
  • The gravitational implosion of a star to form a black hole (2020)
  • Traversible Schwarzschild-Wormholes (2020)
  • Gravitational Waves (2020)
  • Die Schwarzschild-Metrik (2019)

 

Mastertheses

  • Neural Networks and Quiver Varieties (2023)
  • Critical brain hypothesis from a mathematical point of view (2022)
  • The Laws of Black Hole Theromodynamics from a Mathematical Viewpoint (2021)
  • Gravitational Waves in the Presence of Cosmological Constant (2019)

Education

  • Ph.D in Mathematics 2001
    Massachusets Institute of Technology (MIT), Cambridge, MA, USA
    Supervisor: Tom Mrowka
  • B.A. in Mathematics 1996
    University of Bucharest, Romania

Positions 

  • since 10/2016: Department of Mathematics, University of Stuttgart, Germany
  • 01/2013-09/2016: Postdoc in the groups of Prof. Dr. Sebastian Goette and Prof. Dr. Katrin Wendland
    Mathematical Institute, University of Freiburg, Germany
  • 10/2011-12/2012: SFB postodc
    SFB/Transregio 71 "Geometric Partial Differential Equations"
    Mathematical Institute, University of Freiburg, Germany
  • 01/2007-09/2011: Junior Scientist
    Max Planck Institute for Gravitational Physics
    (Albert Einstein Institute), Potsdam-Golm, Germany
  • 08/2004-07/2006: Visiting Assistant Professor
    Department of Mathematics, Duke University, USA
  • 08/2003-05/2003: Posdoctoral Fellow in the program "Differential Geometry"
    Mathematical Science Research Institute (MSRI), Berkeley, CA, USA
  • 08/2001-07/2003: Assistant Research Professor
    Department of Mathematics, Duke University, USA
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